Saab, a Swedish car manufacturer, is interested in estimating average monthly sales in the US, using the following sales figures from a sample of 5 months: 793, 565, 630, 649, and 351.
Saab can calculate the average monthly sales by adding up the sales figures for each month and dividing by the number of months in the sample. This is called the sample mean. The formula for the sample mean is: Sample mean = (sum of values) / (number of values)Using the sales figures given above, Saab can calculate the sample mean as follows: Sample mean = (793 + 565 + 630 + 649 + 351) / 5= 2988 / 5= 597.6Therefore, Saab can estimate the average monthly sales in the US to be $597.6. Saab, a Swedish car manufacturer, is trying to estimate the average monthly sales in the US. To do this, Saab uses sales figures from a sample of 5 months. The sample mean is a statistic that measures the central tendency of the data. It is calculated by summing up all the values in the sample and dividing by the number of values. In this case, the sample mean is calculated by adding up the sales figures for each month and dividing by the number of months in the sample, which is 5. Using this formula, Saab can estimate the average monthly sales in the US to be $597.6 based on the sales figures given above. The sample mean is a useful tool for estimating the population mean, which is the average sales figure for all months in the US. However, the sample mean may not always be an accurate estimate of the population mean. To obtain a more accurate estimate of the population mean, Saab would need to increase the sample size and use statistical techniques such as hypothesis testing and confidence intervals.
Saab can estimate the average monthly sales in the US to be $597.6 based on the sales figures from a sample of 5 months. The sample mean is a useful tool for estimating the population mean, but it may not always be an accurate estimate. Saab could obtain a more accurate estimate of the population mean by increasing the sample size and using statistical techniques such as hypothesis testing and confidence intervals.
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Question 19
By age 65 the number of Americans who experience hearing loss sufficient to affect communication is:
a. 1 in 2
b. 1 in 3
c. 1 in 4
d. 1 in 5
The number of Americans experience hearing loss sufficient to affect communication is: 1 in 4.
According to the National Institute on Deafness and Other Communication Disorders (NIDCD).
Approximately 1 in 4 adults in the United States aged 65 and older have hearing loss that is sufficient to affect communication.
This is based on data from a survey conducted by the NIDCD and the National Health Interview Survey.
NIDCD (National Institute on Deafness and Other Communication Disorders).
In the United States, 1 in 4 persons 65 and older suffer hearing loss severe enough to impair conversation.
This is based on information from surveys done by the National Health Interview Survey and the NIDCD.
The number of Americans who experience hearing loss sufficient to affect communication is: 1 in 4.
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Use algebra tiles to solve 5x = 5
Answer:
1
Step-by-step explanation:
5x=5
1x=1
x=1
................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Answer:
1.)47.022
2.)8.032
3.)2.436
4.)61.92
Step-by-step explanation:
calculate the taylor polynomials 2 and 3 centered at =0 for the function ()=16tan().
Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.
The Taylor series expansion for tangent function is:
tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...
Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:
Degree 2 Taylor polynomial:
P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2
= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2
= 0 + 16x + 8x^2
Degree 3 Taylor polynomial:
P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3
= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3
= 16x + 8x^2
Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
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Q9
9. By using the substitution u = y/t, the differential equation ty+y2 +22-20. =>0, 0. I can be transformed into du di (a) 1-42 du di (b) 1+ du dr (C) 1 +2u2 du (d) 12-1 du ds (e) 12 Itu? ²+1 HIE
The answer is (c) 1 + 2u^2 du. To solve the differential equation ty + y^2 + 2^2 - 20 = 0 using the substitution u = y/t, we need to find the transformed equation in terms of u and its derivative.
First, we need to find the derivative of u with respect to t using the quotient rule:
du/dt = (d/dt)(y/t) = (t(dy/dt) - y(dt/dt))/t^2 = (t(dy/dt) - y)/t^2
Next, we substitute y = ut into the original differential equation:
t(y/t) + (y/t)^2 + 2^2 - 20 = 0
y + y^2/t + 4 - 20 = 0
y^2/t + y + 4 - 20 = 0
u^2t + ut + 4 - 20 = 0
Now, we can multiply through by t to eliminate the fraction:
u^2t^2 + ut^2 + 4t - 20t = 0
Finally, we divide through by t^2 to simplify the equation:
u^2 + u - 16 + 20/t = 0
Thus, the transformed differential equation in terms of u is:
u^2 + u - 16 + 20/t = 0
So, the answer is (c) 1 + 2u^2 du.
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When Highfield Transport gets busy it offers overtime to a driver.
There are 5 drivers at Highfield Transport. The probability of there being overtime available in any given
week is 14.
The driver allocated overtime is chosen at random.
What is the probability of you being allocated overtime next week? Give your answer as a fraction AND
a percentage.
In this case, there are 5 drivers and a probability of 1/4 (14/100) for overtime. Therefore, the probability of being allocated overtime next week is 1/20 or 5%.
Given that there are 5 drivers at Highfield Transport and the probability of overtime being available in any given week is 14/100, we can calculate the probability of being allocated overtime next week.
The probability of being allocated overtime is determined by the ratio of favorable outcomes (being allocated overtime) to the total possible outcomes (the number of drivers).
Favorable outcomes: There is only one driver who will be allocated overtime.
Total possible outcomes: There are 5 drivers in total.
Therefore, the probability of being allocated overtime is:
P(Overtime) = Favorable outcomes / Total possible outcomes
P(Overtime) = 1/5
This probability can also be expressed as a fraction, which is 1/5, or as a percentage, which is (1/5) * 100 = 20%.
Thus, the probability of being allocated overtime next week at Highfield Transport is 1/20 or 5%. This means that there is a 5% chance of being chosen for overtime among the 5 drivers.
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write a boolean expression that is true if the value of x is equal to zero.
The boolean expression that is true if the value of x is equal to zero is:
x == 0
Let's us first learn about Boolean expression.
A boolean expression is an expression that evaluates to either true or false. It can be created using comparison operators, such as == (equal to), != (not equal to), < (less than), > (greater than), <= (less than or equal to), and >= (greater than or equal to). These operators compare two values and return a boolean result.
In this question, the double equal sign (==) is the comparison operator for equality in many programming languages, and it returns true if the values on both sides are equal, and false otherwise.
So in this case, the expression "x == 0" would return true if x is equal to zero, and false otherwise.
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Find the product of 1/3×2/4 in the simplest form.
Answer:
1/6
Step-by-step explanation:
1/3×2/4 = 2/12
2/12 = 1/6
5(10k + 1) + 2(2+8k)
Answer:
5(10k + 1) + 2(2+8k)
Use distributive property
5(10k)+5(1)+2(2)+2(8k)
50k+5+4+16k
combine like terms (50k and 16k are alike as well as 5 and 4)
50k+16k and 5+4
66k+9 is the answer
HELLPPP II NEED HELP FILL TIS IN THANK YOU.....
Answer:
9, 4.5 x 2 = 9
4.5 = 45 tenths and 0.5 = 5 tenths
5 tenths x 9 = 45 tenths
4.5/0.5 = 9
6.3/0.9 = 7, 0.9 x 7 = 63, 63 / 0.9 = 7
Step-by-step explanation:
h(x)= x^3 - 2x and g(x)= 3x +5 Find (h-g)(x)
Answer:
(h-g)(x) = x^3 - 5x -5
Step-by-step explanation:
h(x)= x^3 - 2x and g(x)= 3x +5
(h-g)(x) = x^3 - 2x -( 3x +5)
Distribute
(h-g)(x) = x^3 - 2x - 3x -5
Combine
(h-g)(x) = x^3 - 5x -5
if a right circular cylinder and oblique cylinder both have a height of 15 inches and diameter of 6 inches, do they have the same volume?
Answer:
Yes, they both have a volume of 423.9 inches cubed.
Step-by-step explanation:
Both cylinders have the same volume formula V=(pi)(r^2)(h)
d/2=r=3
h=15
so, (3.14)(9)(15)=423.9
The volume of each cylinder is 423.9
Find the area of the regular polygon. Round your answer to the nearest whole number of square units.
Answer:
total area = 39.6 square units
Step-by-step explanation:
determine the inside angle
360 / 5 = 72°
half of the triangle = 36°
given:
adj = 3.3
Ф = 36°
length of the opp of a small triangle is = adj. tan Ф
opp = 3.3 * tan 36 = 2.4
area of a triangle = 1/2 b * h x 2 tringles
area =( 1/2 * 2.4 * 3.3 ) * 2
area = 7.92 multiplied by 5 equal shapes
total area = 7.92 * 5
total area = 39.6 square units
hope this helps
mark me as a brill please
good luck
The total area of the regular polygon should be considered as the 39.6 square units.
Calculation of the total area of the regular polygon:But before that following things should be calculated
first determine the inside angle i.e.
\(= 360 / 5\)
= 72°
Now
half of the triangle = 36°
Since
adj = 3.3
Ф = 36°
So,
opp =\(3.3 * tan 36\) = 2.4
Now
area of a triangle =\(1/2 b * h * 2\)
\(=( 1/2 * 2.4 * 3.3 ) * 2\\\\= 7.92 * 5\)
= 39.6 square units
hence, The total area of the regular polygon should be considered as the 39.6 square units.
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A'B'C' is a rotation of ABC 90 degrees about the orgin. What is the length of A'C'?A. 7 unitsB. 5 unitsC. 12 unitsD. 3 units
We know that A'B'C' is a rotation of the triangle ABC 90 decrees about the origin.
We remember that in a rotation, the lengths of the segments don't change, and thus, the measure of the segments are:
\(\begin{gathered} AB=A^{\prime}B^{\prime} \\ AC=A^{\prime}C^{\prime} \\ BC=B^{\prime}C^{\prime} \end{gathered}\)This means that the length of A'C' is 5 units, as this is the length of the segment AC.
Answer:
5 units
Step-by-step explanation:
I got it right on the test.
CAN SOMEONE PLZZZZZZZZZZZZZZ HELP ME ON THIS!!! I HAVE BEEN ASKING FOR THREE HOURS NOW!! PLZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
and dont guess, show me how u got the answer plz
Answer:
2x + 3y = 10
Step-by-step explanation:
What we know:
Triangle ABC has Segment AB included in the equation 2x + 3y = 5.
Saying that this is scaled up, Segment A'B' has be included in an addition equation. As a result, Choices 1 and 4 are out. Second, the two terms on the left side have to be the same, so Choice 3 is also out.
This leaves Choice 2, which is 2x + 3y = 10
In case you're confused with the pic below:
eq1's line is 2x + 3y = 5
eq2's line is 2x + 3y = 10
poly1 is the triangle formed on eq1's line
poly2 is the triangle formed on eq2's line
Convert the equation f(t) = 259e-⁰ ⁰¹t to the form f(t) = ab
a =
b =
give answer accurate to three decimal places
A conversion of the equation \(f(t) = 259e^{-0.01t}\) to the form \(f(t) = ab^{t}\) is \(f(x) = 259(0.99)^t\).
a = 259
b = 0.990
What is an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x) = a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change, common ratio, decay rate, or growth rate.By comparing the two the exponential functions, we can logically deduce the following initial value or y-intercept:
initial value or y-intercept, a = 259.
For the rate of change (b), we have:
\(e^{-0.01t} = b^t\\\\e^{(-0.01)t} = b^t\\\\b = e^{(-0.01)}\)
b = 0.990.
Therefore, the required exponential function is given by:
\(f(x) = 259(0.99)^t\)
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Complete Question:
Convert the equation \(f(t) = 259e^{-0.01t}\) to the form \(f(t) = ab^{t}\)
a =
b =
give answer accurate to three decimal places
HELP UR WORK FOR THIS and please explain with it thank you
Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
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Betty has 42 butterfly stickers, as shown below.
She puts an equal number of stickers on each of 6 pages in her sticker book.
How many stickers does Betty put on each page in her sticker book?
Answer:
7
Step-by-step explanation:
42/6=7
a slice of pizza is 1/8 of a circle of radius 1 foot. the slice is in the first quadrant, whith one edge along the x axis, and the center of the pizza at the origin. give inequalities describing this region using rectangular coordinates
To describe the region of a slice of pizza in the first quadrant using rectangular coordinates, we need to determine the equations that define the boundaries of the region.
Since the pizza is a circle with a radius of 1 foot and the slice is 1/8 of the circle, the angle of the slice is 45 degrees. We can use this information to determine the coordinates of the two points that define the slice: (1, 0) and (cos(45), sin(45)) = (√2/2, √2/2). Thus, the region can be described by the following set of inequalities:
0 ≤ x ≤ √2/2
0 ≤ y ≤ x
These inequalities define the region in the first quadrant that corresponds to a slice of pizza with 1/8 of a circle of radius 1 foot.
In summary, to describe the region of a slice of pizza in the first quadrant using rectangular coordinates, we determined the equations that define the boundaries of the region. Since the pizza is a circle with a radius of 1 foot and the slice is 1/8 of the circle, we used the angle of the slice to determine the coordinates of the two points that define the slice.
Then, we used these coordinates to write the set of inequalities that describe the region. These inequalities are 0 ≤ x ≤ √2/2 and 0 ≤ y ≤ x, which represent the range of values for x and y that satisfy the conditions for a slice of pizza.
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A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?
1/6 = 1 batch, 2/6 = 2 batches and so on
if the factory used 1/2, the factory used 3/6 of a barrel, which equals to 3 batches.
hope it helps :)
A ratio of a number and 18
Answer and Explanation:
The number 18 is a rational number. Rational numbers are those that result when one integer is divided by another.
answer:
_____________________________________
the ratio 18 is as a faction: 18/100
and as a percent: 18%
_____________________________________
a ratio of a number and 18 as a faction: 18/24
and as a percent: 75%
my number is: 24
_____________________________________
explanation:
hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)
3(x–6)–1/2(8x+10)=–25
The solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.
To simplify the equation 3(x-6) - 1/2(8x+10) = -25, we can start by applying the distributive property and then combining like terms.
First, let's distribute the 3 and the -1/2 to the terms inside the parentheses:
3(x-6) - 1/2(8x+10) = 3x - 18 - (4x + 5)
Now, let's simplify further by combining like terms:
3x - 18 - 4x - 5 = -x - 23
So, the simplified equation is -x - 23 = -25.
To solve for x, we can isolate the variable by adding 23 to both sides of the equation:
-x - 23 + 23 = -25 + 23
This simplifies to:
-x = -2
Finally, we can solve for x by multiplying both sides of the equation by -1:
(-1)(-x) = (-1)(-2)
This gives us:
x = 2
Therefore, the solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.
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When calculating a nation’s digital power, what term is used to refer to the demonstrated capabilities of a nation-state in cyber offense or defense?
When calculating a nation’s digital power, the term that is used to refer to the demonstrated capabilities of a nation-state in cyber offense or defense is Cyberwarfare.
What is Cyberwarfare?Cyberwarfare can be regarded as the use of cyber attacks against a nation-state so as to produce significant harm.
It should be noted that Cyber Warfare is set of actions which is been carried out by nation or organization so as to be able to launch an attack on institutions' computer network systems.
The interests or reasons for cyberwarfares based on the Cybersecurity as well as Infrastructure Security Agency are;
To weaken the system of another country.To disrupt or destroy the sytem of another nation.In order to achieve the goals behind the cyberwarfare programs, it is usually designed to focus on spectrum of objectives which will bring harm to national interests.
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What is the slope,m?
A. 4/3
B. 3/4
C. - 4/3
D. - 3/4
Answer:
B.3/4
Step-by-step explanation:
A shop sells bagels for $5 per dozen. You can use the table to answer the questions. Explain your reasoning.
number of bagels price in dollars
12 5
How many bagels can you buy for $50?
The number of bagels when you buy for $50 will be 120 bagels.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A shop sells bagels for $5 per dozen.
Let 'x' be the number of bagels and 'y' be the total cost. Then the equation is given as,
y / x = 5 / 12
12y = 5x
The number of bagels when you buy for $50 will be given as,
12(50) = 5x
600 = 5x
5x = 600
x = 120
The number of bagels when you buy for $50 will be 120 bagels.
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what is 60 days from today?
60 days from January 28th, 2023 is March 29th, 2023.
To determine the date 60 days from January 28th, 2023, you simply add 60 days to January 28th, 2023. This will give you the date that is 60 days after January 28th, 2023, which is March 29th, 2023.
it's important to note that this answer assumes that the month has 30 days and the year has 365 days, which may not be the case if the current date is during a leap year or the end of a month.
If you want to know the exact date 60 days from January 28th, 2023, you can use a calendar or an online tool to calculate it.
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Anyone help in bearings number 1??? Giving 40 points
Answer:
The distance is roughly 86.6 m
Step-by-step explanation:
Working is attached below.
answer choices:
a. 28°
b. 124°
c. 36°
d. 56°
Answer:
Step-by-step explanation:
m<5+m<4=180
4x+12+2x=180
6x=180-12
6x=168
x=28
m<5=4x+12
m<5=4*28+12=124
What is System Effectiveness, if Operational Readiness is 0.89, Design Adequacy is 95%, Availability is 98%, Maintainability is 0.93, and Mission Reliability is 0.99? a. 0.763 b. 0.881 c. 0.837 d. 0.820
The System Effectiveness is approximately 0.763.
To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.
System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability
Plugging in the given values:
System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99
System Effectiveness ≈ 0.763
Therefore, the System Effectiveness is approximately 0.763.
The correct answer is a. 0.763.
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